Integrate:

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6. Find the volume of the solid obtained by revolving the region bounded by y = e^x and the x axis about the x axis.

7. Find the volume of the solid obtained by revolving the region bounded by x = y² - 3y and the y axis about the x axis.

8. Find the volume of the solid obtained by revolving the region bounded by y = ln x and the x axis, between x = 1 and x = e; about the y axis.

10 Points Bonus!

A sphere of radius a has a cylindrical hole of radius b cut through its center. Find the volume of the portion cut away.